Search a number
-
+
97472818464 = 2537839172883
BaseRepresentation
bin101101011000111010…
…1010010110100100000
3100022121001022012220120
41122301311102310200
53044111020142324
6112440044440240
710020316200210
oct1326165226440
9308531265816
1097472818464
113837995721a
1216a83549080
139265084158
144a09576240
152807440179
hex16b1d52d20

97472818464 has 96 divisors (see below), whose sum is σ = 292768680960. Its totient is φ = 27816022272.

The previous prime is 97472818439. The next prime is 97472818501. The reversal of 97472818464 is 46481827479.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 97472818398 and 97472818407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477367 + ... + 650249.

It is an arithmetic number, because the mean of its divisors is an integer number (3049673760).

Almost surely, 297472818464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97472818464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146384340480).

97472818464 is an abundant number, since it is smaller than the sum of its proper divisors (195295862496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97472818464 is a wasteful number, since it uses less digits than its factorization.

97472818464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173742 (or 173734 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 97472818464 in words is "ninety-seven billion, four hundred seventy-two million, eight hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 839 1678 2517 3356 5034 5873 6712 10068 11746 13424 17619 20136 23492 26848 35238 40272 46984 70476 80544 93968 140952 172883 187936 281904 345766 518649 563808 691532 1037298 1210181 1383064 2074596 2420362 2766128 3630543 4149192 4840724 5532256 7261086 8298384 9681448 14522172 16596768 19362896 29044344 38725792 58088688 116177376 145048837 290097674 435146511 580195348 870293022 1015341859 1160390696 1740586044 2030683718 2320781392 3046025577 3481172088 4061367436 4641562784 6092051154 6962344176 8122734872 12184102308 13924688352 16245469744 24368204616 32490939488 48736409232 97472818464